Phys. Rev. D 77, 064009 (2008) [13 pages]Midisuperspace supersymmetric quantum cosmologyReceived 3 December 2007; published 6 March 2008 We investigate the canonical quantization in the framework of N=1 simple supergravity for the case of a very simple gravitational midisuperspace described by Gowdy T3 cosmological models. We consider supersymmetric quantum cosmology in the mentioned midisuperspace, where a matrix representation for the gravitino covector-spinor is used. The full Lorentz constraint and its implications for the wave function of the Universe are analyzed in detail. We found that there are indeed physical states in the midisuperspace sector of the theory in contrast to the case of minisuperspace where there exist no physical states. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.064009
DOI:
10.1103/PhysRevD.77.064009
PACS:
04.60.–m, 04.65.+e, 12.60.Jv, 98.80.Qc
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